We describe how quantum dynamics calculations with large total angular
momentum quantum numbers J can be efficiently carried out on scalable
parallel computers. In our approach, different processors i are assoc
iated with different allowed values of Omega, the projection quantum n
umber of total angular momentum on a body-fixed axis. Omega can take o
n values Omega = 0, 1,..., J. One strategy involves associating proces
sors i = 0, 1,..., J directly with the corresponding Omega values. Cor
iolis coupling permits only Omega+/-1 coupling, which implies only nea
rest neighbor processors need to communicate. This ''Coriolis-coupled'
' parallel model and certain variations are applied to a triatomic uni
molecular fragmentation process. Due to the necessity of communication
between processors and load balancing issues, our model does not scal
e ideally with J. However, for the example considered, one can achieve
wall clock times for reasonably high J values that are within about a
factor of two of J=0 calculations.